13°. The value of theta using right triangle Trigonometry is 13°.
The reasons for the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are: sine (sin), cosine (cos) and tangent (tan). These are defined for the acute angle θ as follows:
Sin θ = opossite leg/hypotenuse
Cos θ = adjacent leg/hypotenuse
Tan θ = opossite leg/adjacent leg
The easiest way to solve this proble is using the reason sin θ = opossite leg/hypotenuse, where opossite leg = 11, and hypotenuse = 58.
sin θ = 11/48
θ = sin⁻¹ (11/48)
θ = 13.25°
Round to the nearest degree θ = 13°
